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3 years ago

What is the measure of m?

Mathematics

1 answer:

Semenov [28]3 years ago

5 0

Answer:

i call 13 14 for m, and n is 12

Step-by-step explanation:

Hmmm lets see. Is it about area, perimeter, or angles??

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Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of

Ivan

A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80 subtract 80 from both sides

-125=25a divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80 add 5(x+5)^2 to both sides

5(x+5)^2=80 divide both sides by 5

(x+5)^2=16 take the square root of both sides

x+5=±√16 which is

x+5=±4 subtract 5 from both sides

x=-5±4 so the x-intercepts are:

x=-1 and -9

7 0

4 years ago

CHECK Mynicknameisnickname THEY HAVE THIS QUESTION FOR 100 POINTS FOR THE FIRST CORRECT PERSON HURRY!!

mars1129 [50]

Let "c" and "q" represent the numbers of bottles of Classic and Quantum that should be produced each day to maximize profit. The problem conditions give rise to 3 inequalities:
.. 0.500c +0.550q ≤ 100 . . . . . . . liters of water
.. 0.600c +0.200q ≤ 100 . . . . . . . kg of sugar
.. 0.1c +0.2q ≤ 32 . . . . . . . . . . . . . grams of caramel
These can be plotted on a graph to find the feasible region where c and q satisfy all constraints. You find that the caramel constraint does not come into play. The graph below has c plotted on the horizontal axis and q plotted on the vertical axis.

Optimum production occurs near c = 152.17 and q = 43.48. Examination of profit figures for solutions near those values reveals the best result for (c, q) = (153, 41). Those levels of production give a profit of 6899p per day.

To maximize profit, Cartesian Cola should produce each day
.. 153 bottles of Classic
.. 41 bottles of Quantum per day.

Profit will be 6899p per day.

_____
The problem statement gives no clue as to the currency equivalent of 100p.

5 0

4 years ago

The surface area of given figure is 200cm². i. Find height of triangle. ii. Find value of y. 80⁰ 5cm 5cm

Orlov [11]

Answer:

the answer is 16 . the explanation is that because if you have. 200 cm y axis it overcomes the x of other 80

5 0

2 years ago

Solve the given system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use se

Novosadov [1.4K]

Answer:

x=5, y=3

Step-by-step explanation:

1) x+3y=14,4x+5y=35

2) x+3y=14

3) x=-3y+14

4) 4(-3y+14)+5y=35

5) -12y+56+5y=35

6) -7y+56=35

7) -7y=-21

8) y=3

9) x=-3\times 3+14

10) x=-9+14

11) x=5

finale and last : x=5,y=3 ✅

4 0

3 years ago

Axis of symmetry for f(x) = -2x2 + 20x -42

Ksenya-84 [330]

For the function $f(x)=2x^2 +20x-42$

We can use the formula for the axis of symetry, which is $x= \frac{-b}{2a}$

With the values substituted, we get...

$\frac{-20}{2(-2)} =5$

Therefore the axis of symmetry is $x=5$

8 0

4 years ago

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